You are driving down the highway late one night at 20 m/s when a deer steps onto the road 35 m in front of you. Your reaction time before stepping on the brakes is 0.50 s , and the maximum deceleration of your car is 10 m/s2 . How much distance is between you and the deer when you come to a stop?

Question

anonymous · Answer

When you press the brakes at time t2=0.5s after seeing the deer, the acceleration changes. You will need to consider the two time intervals (before and after the brakes are pressed) separately, since they have different accelerations. Let t1=0s be the moment when you see the deer and x1=0m be your position at that moment. Let t2 and x2 be the time and position when you press the brakes, and let t3 and x3 be the time and position when you finally come to rest.

anonymous · Answer

You found the distance that you will cover while braking. You can use the expected amount of time for braking to check your answer for distance.
Using the information given in the introduction and the value for distance that you found above, determine the time required for you to stop once you press the brakes. Note that the time for braking is just the time interval t3−t2.

anonymous · Answer

the distance between the car and the deer is 5m

anonymous · Answer

I'm very confused as to how to determine what t3 is

anonymous · Answer

You should post this in Math.

anonymous · Answer

this is a physics question though